Archives of Previous Postings - AP Calc AB

Tuesday, 9/2/14
Today, students:




Wednesday, 9/3/14



Today, students:

  • Reviewed the Optimization Problem
  • Learned how to evaluate limits graphically
  • Work on one of these three handouts:



Limits Graph 1

Limits Graph 2

Limits Graph 3



For homework finish the summary: Summarize what a limit is in one sentence.



and watch the video:





Thursday, 9/4/14



Today, students:


  • Reviewed the graphical limits
  • Completed the "Take it to the Limit" numerical limits activity.
  • Received Problem Set 1 - Due Wednesday, 9/10/14

Homework: Finish 4 Numerical Limit Questions ("Take it to the Limit")


Tuesday, 9/9/14





Today, students:



  • Learned how to evaluate limits algebraically.



Homework:



Wednesday, 9/10/14





Today, students:


  • Learned how to evaluate limits to infinity.


Homework:


Wednesday, Thursday 9/11/14



Today, students:





  • Continued discussing limits to infinity
  • Were introduced to the definition of continuity
  • Identified types of discontinuity





Homework:







Friday, 9/12/14


Today, students:


Homework:

  • Complete the WBT Lab Sheet (page 2)
  • Click on the link above to see the file. You will need this information to complete the assignment.


Test:

  • Your first test will be next Tuesday 9/16.\


Monday, 9/17/14







Today, students:





  • Learned about the Intermediate Value Theorem
  • Learned the Bisection Method which applies the IVT (click here for one more example of this method)





Homework:





  • Prepare for Test on Limits and Continuity









Test: Your first test will be on Tuesday 9/17 and Wednesday 9/18





Test Topics:







Topics on Test #1:









1.) Evaluating Limits Graphically





2.) Evaluating Limits Numerically





3.) Evaluating Limits Algebraically





4.) Limits to Infinity / asymptotes





5.) Definition of continuity at a point





6.) Intermediate Value Theorem







2 sections - Section #1 will be non-Calculator





- Section#2 will be Calculator active

Wednesday, 9/17/14



Today, students took the calculator active section of the test on Limits and Continuity. Then, student received Problem Set 2, which will be due next Wednesday, 9/24.


Friday, 9/18/14





Today, students learned about the limit definition of the derivative. Students should complete the following problems for homework:



3

Tuesday, 9/23/14





Today, students learned:



1.) How to find a derivative function

2.) The power rule









Also, don't forget Problem Set 2, is due TOMORROW, Wednesday, 9/24.




Thursday - 9/25/14







Today students learned:





  • The Chain Rule
  • How to write an equation for a tangent line



YOUR QUIZ WILL NOW BE ON MONDAY, 9/29



TEST CORRECTIONS WILL BE DUE ON MONDAY 9/29





I handed back the Unit 1 tests.







Homework: None









They even saw this neat version of the "quotient rule song":










Monday - 9/29/14



Today students learned to a test on Introduction to Derivatives. They also received their textbooks.


Homework:


Read Section 3.6 on Trigonometric Functions and do exercises - p. 170, #1 - 19 ODD, 49 & 51.


Click here for the test corrections procedure.

Tuesday - 9/30/14

Today students learned the derivative for the base "e" exponential function and practiced higher level derivatives.

Homework:

Finish the AP Exam Derivative Problems handout.


Thursday - 10/2/14



Today students did the "Make Your Own Crazy Chain Rule Problem" activity





Make Your Own Crazy Chain Rule Problem! Design a function that has several "layers" to it [in other words, several functions within functions]. 1st, do the chain rule yourself for practice. 2nd, hand your function off to a partner and have him/her try to take the derivatve using the chain rule. 3rd, compare your answers. If they're different, why?





Homework:

Tuesday - 10/7/14

Today students learned about the connection between Position, Velocity and Acceleration

TEST HAS BEEN MOVED TO THURSDAY

Homework:

1.) p. 158, # 10, 13, 14, 22
2.)Problem Set Due Thursday


Friday - 10/10/14



Today students competed their test on Derivatives.



I will be out on Tuesday, 10/14 and Wednesday, 10/15.





Homework:




Thursday - 10/16/14



Today students learned about Implicit Differentiation. We worked the packet together as a class.







Homework:



Implicit Differentiation Free Response Problem


Friday - 10/31/14

Today, students completed the Halloween Pumpkin Activity. They also received Problem Set 5, which will be Due next Thursday, 11/6.


Thursday - 11/6/14



Today, students learned about the Mean Value Theorem. You can access what we learned on this Powerpoint presentation or this handout.



Homework: p. 236, # 1 - 7 odd and 11, 13. Also, Problem Set 5, will be Due next Thursday, 11/13.


Wednesday - 11/12/14



Today, students learned about concavity and points of inflection and then how to use "special points" (absolute and local extema, inflection points) to sketch curves functions with surprising accuracy.







Homework: Students should sketch the function here.


Thursday - 11/12/14



Today, students continued working on curve sketching. Then, they started working on an AP Free Response question (2003 AB #3).



Homework: Problem Set #5 Due tomorrow.



Click here for important info about this Saturday's AP Math Session.


Friday - 11/14/14


Today, students learned about L'Hopital's Rule, then continued working on an AP Free Response question (2003 AB #3).


Homework: p. 277, #1 - 9 ODD, 17 & 19


Click here for important info about this Saturday's AP Math Session.






Today, students learned about the Fundamental Theorem of Calculus Part 1. Click here for today's handout of FTOC and accumulation.



Homework: Over the Thanksgiving break, complete this handout on motion problems.

Friday - 12/5/14



Today, students learned how to use anti-derivatives to evaluate integrals. Then, students complete problems on this handout.



Homework:

1.) Finish the "Water Pump" problem (a. - c.) from today's handtou

2.) Test Corrections Due next Friday

3.) Problem Set Due Tuesday

4.) Quiz Tuesday on Integration (no slope fields)


Tuesday - 12/9/14





Today students took the quiz on Intro to Integration (I was absent yesterday, so the quiz was moved back a day).





Homework: Read Section 5.5 pp. 337 - 341 and #'s 3, 19, 21 and TEST CORRECTIONS DUE MONDAY


Wednesday - 12/10/14





Today students learned about indefinite integrals and properties of integration.





Homework: Test Corrections Due Friday



Monday - 12/15/14



Today students completed two AP Calculus Free Response questions involving integration and the Fundamental Theorem of Calculus. Click here for the problems.





Then, students received the following problems.







2011 Form b #5



2011 Form b #6


2009 Form b #'s 1 & 2






Click here for a link to AP Calculus Free Response Questions


Homework: Complete 2009 Form b #1


Tuesday - 12/16/14

Today we went over AB Free Response 2009 Form b #1. Then, students continued working on the Free Response Questions.


Then, students received the following problems.



2011 Form b #5

2011 Form b #6
2009 Form b #'s 1 & 2


Click here for a link to AP Calculus Free Response Questions

Homework: Complete 2009 Form b #2 and 2011 Form b #5.



Wednesday - 12/17/14

Today we went over AB Free Response 2009 Form b #2 and 2011 Form b #5. Then, students learned about the u-substitution method for evaluating integrals.


Homework: Complete the four integrals below:

u substitution homework problems.png

Thursday - 12/18/14


Today we finished u-substitution. Then we began reviewing for a test on integration.


We completed two free response problems: 2006 AB form b #6 and 2007 AB 2.



Friday - 1/9/15


Today students learned how to find volumes of solids with known cross sections. Students received problem set 7 which will be due next week (date TBD).

Monday - 12/22/14

VERY SHORT WINTER BREAK ASSIGNMENT:


Watch these two Khan Academy Videos on Area Between Curves and try to complete a quick quiz on the website. Click here for the quiz.











Today students continued reviewing for the midterm using our "Study Guide". Click the links below for screen shots of our review pages.


pg 1 and pg 2.png


pg 3 and pg 4.png


pg 5 and pg 6.png


pg 7 and pg 8a.png


pg 8b and pg 9.png


pg 10 and pg 11.png


pg 12 and pg 13.png



pg 16 and pg 17.png


pg 19 and pg 19.png
pg 20 and pg 21.png

Homework: Study for midterm




Tuesday - 2/10/15


Hi folks, remember me? I'm Mr. Lippman your Calc teacher. So I figure that this "snow day" stuff has finally gone on long enough, and we have to do some Calculus if we're going to keep on pace. To that end, I am uploading a reading and assignment that will allow us to streamline our unit on Differential Equations considerably. Please go through this handout and do the problems at the end. I don't care if you print it out or do everything on in your notebook.


As for the unit on Area / Volume / Arc length, I still intend to quiz you on that the day AFTER we return to school. If we are back on Wednesday, then we'll have that quiz on Thursday.


Here's the handout on Differential Equations


Also, here's a video from Khan Academy which you may find helpful. I recommend reading the handout first, then checking out the video if you're confused.




Thursday - 2/5/15

Today students learned continued to work on volumes of revolution.



Homework:Complete AP Free Response 2003 #1 and 2008 (form b) # 1





Friday - 2/13/15

February Break Assignments:


Complete the February Break Packet for when we return from break. I do not have it in an electronic format.


Today learned about Slope Fields and Differential Equations. You will also need to get these materials from me after break.



Friday - 2/24/15

Today students completed more Differential Equations. For homework, students should complete:

2014 - AB Free Response # 6
2013 - AB Free Response # 6



Friday - 3/6/15


Today we continued to work on average value of a function.


Homework: From the book, p. 392, #'s 37 - 53 ODD



Tuesday - 3/10/15

Today we went of the Review - Derivatives and Integrals handout.

Homework: Do Free Response 2014 AB #3.



Friday - 3/12/15

Today we reviewed Applications of Integrals. Students worked on the Accumulation - Average Value - Density handout.

Homework:Finish Handout from Class

Friday - 3/13/15

Today we went over solutions to the Accumulation - Average Value - Density handout. We then began an overview of major topics from the course.

Test Corrections will be due NEXT FRIDAY - 3/20/15.

Homework:



Thursday - 3/26/15

Today we reviewed Related Rates. We reviewed the 6 step process and then completed a practice problem.


Homework: Complete the Related Rates review handout.



Monday - 3/30/15

Today we went over the Related Rates review handout. Then, students started work on a Link sheet comparing graphs of f, f' and f''.


Homework:

1.) Complete Graphs of f, f' and f'' Link Sheet.



2.) Students received the 3rd Quarter Project, which will be due next Monday 4/6/15.





Tuesday - 3/31/15

Today we reviewed the Link sheet comparing graphs of f, f' and f''. Then, student began link sheet reviewing Riemann Sums and the Fundamental Theorem of Calculus.


Homework:

1.) Complete Riemann Sums and FTC link sheets.



2.) Students received the 3rd Quarter Project, which will be due next Tuesday 4/7/15.





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